PeterJockisch.de
Document integrity: “Practical Application of Cryptographic Checksums”, with an introduction to
signing and encryption, contains all hyperlinks, framed and visible in the browser or in the separate PDF viewer.
Google.com Top 10 (EN) • Google.de Top 10 • Bing.com Top 10
Introduction to the indirect proof:
“Proof of the Irrationality of the Square Root of 2”
Google.de Top 10 •
Google.com Top 10 (EN)
Mathematical proofs are used to prove the correctness of formulas and assumed facts. Several basic procedures and ways of verifying mathematical correctness are in use, all of which follow a fixed scheme.
For the proof of the irrationality of the square root of 2 different proofs exist. This article explains the indirect proof variant in detail and introduces one of the possible short spellings in mathematical notation. Exercises with solutions consolidate what has been learned. 12 pages::
A4 • A4 duplex • US-Letter • US-Letter duplex
School mathematics: Detailed solutions to the first 27 text problems of “A first book in Algebra”, author Wallace C. Boyden, added, a textbook for beginners in algebra: Text problems with solutions, 10 pages (PDF, A4 format, in English)..
Holistic aspects: „Presentation of Inner Structures of Reality in the History of Film and Television“
A4 • A4 two-column • US-Letter • US-Letter two-column
Maps on the German language and Germany. Directory overview at Archive.org, sample maps: Deutsches Reich physikalisch, Deutsches Reich Staatenkarte 1913. Prefer the PNG version to the preselected JPEG version, the PNG file has the better quality and can also be directly linked (hotlinked), listed on the right in the menu “DOWNLOAD OPTIONS” or under “SHOW ALL”.
Youtube playlist „Deutsche Sprache“: “Why Germans can say things no one else can.” • “Die Lebendigkeit der deutschen Sprache (J.G.Fichte)” • “The German Language: Its Fascinating History, Diverse Dialects & More!” • Recommended reading on spelling: Schriftdeutsch.de • Youtube playlist “Deutsches Reich” • Overview of all YouTube playlists
“Völker- und Sprachenkarte von Europa”,
“Map of Peoples and Languages of Europe”,
scale 1:30 000 000.
Bibliographisches Institut A.G., Leipzig;
“Meyers Geographischer Handatlas”,
“[...] siebente neubearbeitete
und vermehrte Auflage [...], 1928”
Raw file,
WP-article “Meyers Handatlas”.
Distribution [resp. dissemination] of the German language around 1913, original maps, freely and directly
available at the
Internet Archive
(title page map 1,
title page map 2).
The best resolution quality is
the
respective TIFF or PNG file versions on the right under “DOWNLOAD OPTIONS” or under “SHOW ALL”.
They
can also be linked directly, such as the two following thumbnails.
Click on them again during
or after loading for a detailed view:
“Verbreitung der Deutschen Mundarten”,
“Distribution of the German dialects”,
according to Prof. Dr. W. Stammler,
scale 1:8000000.
Bibliographisches Institut A.G., Leipzig;
“Meyers Geographischer Handatlas”,
“[...] siebente
neubearbeitete und vermehrte Auflage [...], 1928” Raw file,
WP article “Meyers Handatlas”.
As of: February 24, 2024
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